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Asymptotic and Numerical Analysis of Charged Particle Beams.

Mohammad Asadzadeh (Institutionen för matematik)
Journal of Americam Institute of Physics, Proceedings of 23th RGD Symposium. Whistler, Canada, July 20-20, (2002) p. CD-ROM. (2003)
[Konferensbidrag, refereegranskat]

We study a model for a single particle moving through a homogeneous background medium. Starting with a transport process for the electron particles we derive ($i$) the Fokker-Planck equation using asymptotic expansions, (assuming small mean free path), then ($ii$) the Fermi equation by yet another asymptotic expansion assuming (in addition to small mean free path) small angular deviations. Finally ($iii$) we discuss some numerical solutions of a simplified 2-dimensional Fermi equation.

Nyckelord: Asymptotic analysis, Charged particle beams, Transport equation, Fokker-Planck limit, Fermi equation

Denna post skapades 2009-12-09. Senast ändrad 2014-10-09.
CPL Pubid: 103197


Institutioner (Chalmers)

Institutionen för matematik (2002-2004)


Tillämpad matematik

Chalmers infrastruktur